What is the Greatest Common Factor of 32539 and 32552?

Greatest common factor (GCF) of 32539 and 32552 is 13.

GCF(32539,32552) = 13

We will now calculate the prime factors of 32539 and 32552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32539 and 32552.

How to find the GCF of 32539 and 32552?

We will first find the prime factorization of 32539 and 32552. After we will calculate the factors of 32539 and 32552 and find the biggest common factor number .

Step-1: Prime Factorization of 32539

Prime factors of 32539 are 13, 2503. Prime factorization of 32539 in exponential form is:

32539 = 13¹ × 2503¹

Step-2: Prime Factorization of 32552

Prime factors of 32552 are 2, 13, 313. Prime factorization of 32552 in exponential form is:

32552 = 2³ × 13¹ × 313¹

Step-3: Factors of 32539

List of positive integer factors of 32539 that divides 32539 without a remainder.

1, 13, 2503

Step-4: Factors of 32552

List of positive integer factors of 32552 that divides 32539 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 313, 626, 1252, 2504, 4069, 8138, 16276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32539 and 32552. The biggest common factor number is the GCF number.
So the greatest common factor 32539 and 32552 is 13.

Also check out the Least Common Multiple of 32539 and 32552